Sphere packings revisited

@article{Bezdek2006SpherePR,
  title={Sphere packings revisited},
  author={K{\'a}roly Bezdek},
  journal={Eur. J. Comb.},
  year={2006},
  volume={27},
  pages={864-883}
}
In this paper we survey most of the recent and often surprising results on packings of congruent spheres in d-dimensional spaces of constant curvature. The topics discussed are as follows: Hadwiger numbers of convex bodies and kissing numbers of spheres; Touching numbers of convex bodies; Newton numbers of convex bodies; One-sided Hadwiger and kissing numbers; Contact graphs of finite packings and the combinatorial Kepler problem; Isoperimetric problems for Voronoi cells, the strong… CONTINUE READING
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